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Finding the Fourth Proportional to 20,778, 31,167.27 and 6,927

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Solution

The fourth proportional to 20,778, 31,167.27 and 6,927 is: 10,390.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,778 : 31,167.27 = 6,927 : x
  2. Step 2: Convert to fraction form
    20,778/31,167.27 = 6,927/x
  3. Step 3: Cross multiply
    20,778x = 31,167.27 × 6,927
  4. Step 4: Simplify right side
    20,778x = 215,895,679.29
  5. Step 5: Solve for x
    x = 215,895,679.29/20,778
  6. Step 6: Final answer
    x = 10,390.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.